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In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The complete solution of ‘i’ is?(a) i = [(3.53-4.99×10^-3)cos(π/4+89.94^o)] exp(-t/0.00001)+4.99×10^-3)cos(100t+π/2+89.94^o)(b) i = [(3.53+4.99×10^-3)cos(π/4+89.94^o)] exp(-t/0.00001)+4.99×10^-3)cos(100t+π/2+89.94^o)(c) i = [(3.53+4.99×10^-3)cos(π/4+89.94^o)] exp(-t/0.00001)-4.99×10^-3)cos(100t+π/2+89.94^o)(d) i = [(3.53-4.99×10^-3)cos(π/4+89.94^o)] exp(-t/0.00001)-4.99×10^-3)cos(100t+π/2+89.94^o)The question was asked by my college professor while I was bunking the class.I need to ask this question from Sinusoidal Response of an R-C Circuit topic in division Transients of Network Theory |
Answer» CORRECT option is (a) i = [(3.53-4.99×10^-3)cos(π/4+89.94^o)] exp(-t/0.00001)+4.99×10^-3)cos(100t+π/2+89.94^o) Explanation: The COMPLETE solution for the CURRENT is the sum of the complementary function and the particular integral. So, i = [(3.53-4.99×10^-3)cos(π/4+89.94^o)] exp(-t/0.00001)+4.99×10^-3)cos(100t+π/2+89.94^o). |
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